Combination of techniques involving methods of algebraic nature and Special Functions of standard or generalized forms, may offer a powerful tool to solve problems in pure and applied Mathematics. This book covers different topics in pure Mathematics, Physics and Statistics, in which the combined use of operational methods and Special Functions has provided solutions hardly achievable with conventional means. Particular attention is devoted to the Monomiality Principle, Operational Calculus, theory of Pseudo Functions and Polynomials, generalized Fourier and Laplace Transforms and solution of Evolution Equations.